Mister Exam

Integral of 1/(2ylny) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |      1        
 |  ---------- dy
 |  2*y*log(y)   
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{1}{2 y \log{\left(y \right)}}\, dy$$
Integral(1/((2*y)*log(y)), (y, 0, 1))
The answer (Indefinite) [src]
  /                               
 |                                
 |     1               log(log(y))
 | ---------- dy = C + -----------
 | 2*y*log(y)               2     
 |                                
/                                 
$$\int \frac{1}{2 y \log{\left(y \right)}}\, dy = C + \frac{\log{\left(\log{\left(y \right)} \right)}}{2}$$
The graph
The answer [src]
-oo
$$-\infty$$
=
=
-oo
$$-\infty$$
-oo
Numerical answer [src]
-23.9386050599533
-23.9386050599533

    Use the examples entering the upper and lower limits of integration.